Mutual Potential of Homogeneous Polyhedra |
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| Authors: | Robert A. Werner Daniel J. Scheeres |
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| Affiliation: | (1) Jet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, Pasadena, CA 91109-8001, USA;(2) Department of Aerospace Engineering, The University of Michigan, 1320 Beal Avenue, Ann Arbor, MI 48109-2140, USA |
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| Abstract: | The mutual gravitational potential between a pair of homogeneous polyhedra is expressed using an infinite series. The nested volume integrals are evaluated analytically and result in simple tensor expressions containing no special functions. However, complexity increases as O(6 n ), where n is the term degree. An alternate formulation due to Liebenthal is also presented. |
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| Keywords: | inertia integral mutual potential polyhedron potential two rigid bodies problem |
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